The Mathematics of Slots

The Mathematics of Slots

Author: Catalin Barboianu

Publisher: INFAROM Publishing

Published: 2013

Total Pages: 366

ISBN-13: 9731991409

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This eighth book of the author on gambling math presents in accessible terms the cold mathematics behind the sparkling slot machines, either physical or virtual. It contains all the mathematical facts grounding the configuration, functionality, outcome, and profits of the slot games. Therefore, it is not a so-called how-to-win book, but a complete, rigorous mathematical guide for the slot player and also for game producers, being unique in this respect. As it is primarily addressed to the slot player, its goal is to present practical applications of the mathematical models of slot games, in order to provide numerical results that a player can use as criteria for gaming decisions or just as information for any slot game and any predicted winning event. These results are focused on probability and expected value, these being the most important parameters for decisional criteria in slots. The book is packed with plenty of figures, tables, and formulas. The content is organized so that readers can skip the theoretical parts and go picking the practical results (numerical, in tables of values where possible, or ready-to-compute formulas) for the desired situation. The practical results are gathered in the last chapter, titled "Practical Applications and Numerical Results," the largest part of the book, for the most popular categories of slot machines, namely with 3, 5, 9, and 16 reels. Any other category of slot games is covered in the theoretical part of the book, where the general formulas apply not only to existing slot games, but also to possible future slot games of any design and configuration. The author does not just throw the slot mathematics to the audience and run away, but offers an ultimate practical contribution with the chapter "How to estimate the number of stops and the symbol distribution on a reel", a surprise for both players and producers, where one can see that mathematics provides players with some statistical methods as well as methods based on physical measurements for retrieving these missing data. Having these data along with the mathematical results of this book, anyone can generate the PAR sheet of any slot machine. In the last decade, mathematics has been taken more and more seriously into account in gaming, as being the essence that governs the games of chance and the only rigorous tool providing information on optimal play, where possible. For the popular game of slots, mathematics already fulfilled its duty by providing all the data that it can provide and that cannot be found on the display of the slot machines - it is all here in this book.


smarTEST Prep

smarTEST Prep

Author: Pratheep Sevanthinathan

Publisher: University Press of America

Published: 2013-12-06

Total Pages: 206

ISBN-13: 0761862722

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smarTEST Prep: Guide to LSAT Logic Games presents a standardized and methodical approach to conquering the Logic Games section of the LSAT. This book helps readers to understand the fundamentals of logic games and how to properly diagram their solutions. Featuring innovative strategies to increase your score, step-by-step guides to accurate diagrams, and twenty-three original and challenging practice games, the book will help every reader feel prepared on test day.


Complete Systems Analysis

Complete Systems Analysis

Author: James Robertson

Publisher: Addison-Wesley

Published: 2013-07-15

Total Pages: 661

ISBN-13: 013349229X

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This is the digital version of the printed book (Copyright © 1998, 1994). In a fundamentally new approach, Complete Systems Analysis teaches everything you need to know about analyzing systems: the methods, the models, the techniques, and more. A definitive text on modern systems analysis techniques is combined with an extensive case study to give readers hands-on experience in completing an actual analysis project. Readers proceed through each step of a full-scale analysis project, analyzing the complex requirements of a television station’s airtime programming department. Each phase of the case study and each exercise in the textbook section is thoroughly explained in separate review and answer sections. An innovative Trail Guide system–inspired by the difficulty levels marked on ski trails–encourages readers to follow a sequence that suits their skill level. Beginners follow the full trail while experienced analysts fill in gaps in their training, refresh their understanding of key concepts, and practice their skills. Managers review key concepts but can skip the detailed work with models. The book shows how analysis is used for object-oriented implementation, and how event-response data flow models and entity-relationship data models are complementary, not competing, models. Complete Systems Analysis adapts to the reader’s needs and provides an appropriate learning path for the beginner, with a more direct route for experienced analysts wanting to make better use of today’s techniques. Since its initial publication in 1994 as a two-volume set in hardcover, this highly acclaimed text–released in 1998 as a single, softcover volume–has served as a course text in classes throughout the world. Topics include Analysis Models Data Flow Diagrams Data Viewpoint Data Models Leveled Data Flow Diagrams Current Physical Viewpoint Building the Data Dictionary Strategy: Focusing on the Essentials Identifying Events Modeling an Event Response Writing Mini Specifications CRUD Check Modeling New Requirements New Physical Viewpoint Object-Oriented Viewpoint Strategy: Toward Implementation


Weird Universe

Weird Universe

Author: David A. J. Seargent

Publisher: Springer

Published: 2014-10-10

Total Pages: 286

ISBN-13: 3319107380

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As new discoveries complicate the scientific picture of the universe, the evolving theories about the nature of space and time and the origins and fate of the universe threaten to become overwhelming. Enter David Seargent. Continuing the author's series of books popularizing strange astronomy facts and knowledge, Weird Universe explains the bizarre, complicated terrain of modern cosmology for lay readers. From exploring some of the strange consequences of the theories of special and general relativity, to probing time dilation and the twin and mother-and-baby “paradoxes” and the theory that the universe can be mathematically considered as a hologram, all of the latest findings and conjectures are clearly described in non-technical language. The development of quantum physics and the more recent developments of string and M-theory are looked at, in addition to several hypotheses that have not won wide acceptance from the scientific community, such as modified gravity. Enter the wonderfully weird world of these theories and gain a new appreciation for the latest findings in cosmological research.


Automata, Languages and Programming

Automata, Languages and Programming

Author: Susanne Albers

Publisher: Springer Science & Business Media

Published: 2009-07-06

Total Pages: 597

ISBN-13: 3642029302

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ICALP 2009, the 36th edition of the International Colloquium on Automata, Languages and Programming, was held on the island of Rhodes, July 6–10, 2009. ICALP is a series of annual conferences of the European Association for Theoretical Computer Science (EATCS) which ?rst took place in 1972. This year, the ICALP program consisted of the established track A (focusing on algorithms, complexity and games) and track B (focusing on logic, automata, semantics and theory of programming), and of the recently introduced track C (in 2009 focusing on foundations of networked computation). In response to the call for papers, the Program Committee received 370 s- missions: 223 for track A, 84 for track B and 63 for track C. Out of these, 108 papers were selected for inclusion in the scienti?c program: 62 papers for track A, 24 for track B and 22 for track C. The selection was made by the Program Committees based on originality, quality, and relevance to theoretical computer science. The quality of the manuscripts was very high indeed, and many dese- ing papers could not be selected. ICALP 2009 consisted of ?ve invited lectures and the contributed papers.


Mathematical Puzzles

Mathematical Puzzles

Author: Peter Winkler

Publisher: CRC Press

Published: 2020-12-28

Total Pages: 519

ISBN-13: 0429553501

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Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one's armory of techniques for doing mathematics. Mathematical Puzzles makes this connection explicit by isolating important mathematical methods, then using them to solve puzzles and prove a theorem. Features A collection of the world’s best mathematical puzzles Each chapter features a technique for solving mathematical puzzles, examples, and finally a genuine theorem of mathematics that features that technique in its proof Puzzles that are entertaining, mystifying, paradoxical, and satisfying; they are not just exercises or contest problems.


Practical Parallel Rendering

Practical Parallel Rendering

Author: Alan Chalmers

Publisher: CRC Press

Published: 2002-06-26

Total Pages: 392

ISBN-13: 1439863806

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Meeting the growing demands for speed and quality in rendering computer graphics images requires new techniques. Practical parallel rendering provides one of the most practical solutions. This book addresses the basic issues of rendering within a parallel or distributed computing environment, and considers the strengths and weaknesses of multiprocessor machines and networked render farms for graphics rendering. Case studies of working applications demonstrate, in detail, practical ways of dealing with complex issues involved in parallel processing.